"invade" suggests that the Rook on d1 will move up the d file, to d6 or d7 perhaps, while "attack" suggests the Rook will stay on d1 threatening any Black pawns or pieces that might also be on the file.

"invade" suggests that the Rook on d1 will move up the d file, to d6 or d7 perhaps, while "attack" suggests the Rook will stay on d1 threatening any Black pawns or pieces that might also be on the file.